Neural, Genetic and Biochemical Networks

  • L. Glass, S.A. Kauffman. Cooperative components, spatial localization and oscillatory cellular dynamics. Journal of Theoretical Biology 34, 219-237 (1972).

  • L. Glass, S.A. Kauffman. The logical analysis of continuous, nonlinear biochemical control networks. Journal of Theoretical Biology 39, 103-129 (1973).

  • R.M. Shymko, L. Glass. Spatial switching in chemical reactions with heterogeneous catalysis. Journal of Chemical Physics 60, 835-841 (1974).  pdf file

  • L. Glass, R. Perez. Limit cycle oscillations in compartmental chemical systems. Journal of Chemical Physics 61, 5242-5249 (1974).

  • R. Perez, L. Glass, R. Shlaer. Development of specificity in the cat visual cortex. Journal of Mathematical Biology 1, 275-288 (1975).

  • L. Glass. Classification of biological networks by their qualitative dynamics. Journal of Theoretical Biology 54, 85-107 (1975).

  • L. Glass. Combinatorial and topological methods in nonlinear chemical kinetics. Journal of Chemical Physics 63, 1325-1335 (1975). pdf file

  • L. Glass. A topological theorem for nonlinear dynamics in chemical and ecological networks. Proceedings of the National Academy of Sciences (U.S.) 72, 2856-2857 (1975).

  • L. Glass. "Combinatorial aspects of dynamics in biological systems". In Statistical Mechanics and Statistical Methods in Theory and Applications, U. Landman, Ed. Plenum, New York, 585-611 (1977). pdf file

  • L. Glass, J.S. Pasternack. Prediction of limit cycles in mathematical models of biological oscillations. Bulletin of Mathematical Biology 40, 27-44 (1978).

  • L. Glass, J.S. Pasternack. Stable oscillations in mathematical models of biological control systems. Journal of Mathematical Biology 6, 207-223 (1978).  pdf file

  • L. Glass, R. Young. Structure and dynamics of neural network oscillators. Brain Research 179, 207-218 (1979).

  • M.R. Guevara, L. Glass, M.C. Mackey, A. Shrier. Chaos in neurobiology. Transactions of the IEEE, Systems, Man and Cybernetics, SMC13, 790-798 (1983).

  • L. Glass, A. Beuter, D. Larocque. Time delays, oscillations and chaos in physiological control systems. Mathematical Biosciences 90, 111-125 (1988). pdf file

  • J. Milton, A. Longtin, A. Beuter, M.C. Mackey, L. Glass. Complex dynamics and bifurcations in neurology. Journal of Theoretical Biology 138, 129-147 (1989). pdf file

  • A. Beuter, D. Larocque, L. Glass. Complex oscillations in a human motor system. Journal of Motor Behavior 21, 277-289 (1989).

  • A. Beuter, J. Milton, C. Labrie, L. Glass, S. Gauthier. Delayed visual feedback and movement control in Parkinson's disease. Experimental Neurology 110, 228-235 (1990).

  • J. Lewis, L. Glass. Steady states, limit cycles, and chaos in models of complex biological networks. International Journal of Bifurcation and Chaos 1, 477-483 (1991).

  • J.E. Lewis, L. Glass. Nonlinear dynamics and symbolic dynamics of neural networks. Neural Computation 4, 621-642 (1992).  pdf file

  • J. E. Lewis, L. Glass, M. Bachoo, C. Polosa. Phase resetting and fixed delay stimulation of a simple model of respiratory rhythm generation. Journal of Theoretical Biology 159, 491-506 (1992).

  • T. Mestl, C. Lemay, L. Glass. Chaos in high dimensional neural and gene networks. Physica D 98, 33-52 (1996). pdf file

  • D.T. Kaplan, J.R. Clay, T. Manning, L. Glass, M.R. Guevara, A. Shrier. Subthreshold dynamics in periodically stimulated squid giant axons. Physical Review Letters 76, 4074-4077 (1996). pdf file

  • R. J. Bagley, L. Glass. Counting and classifying attractors in high dimensional dynamical systems. Journal of Theoretical Biology 183, 269-284 (1996). pdf file

  • T. Mestl, R. J. Bagley, L. Glass. Common chaos in arbitrarily complex feedback networks. Physical Review Letters 79, 653-656 (1997). pdf file

  • K. Vasilakos, L. Glass, A. Beuter. Interaction of tremor and magnification in a motor performance task with visual feedback. Journal of Motor Behavior 30, 158-168 (1998).

  • L. Glass, C. Hill. Ordered and disordered dynamics in random networks. Europhysics Letters 41, 599-604 (1998). pdf file

  • R. Edwards, A. Beuter, L. Glass. Parkinsonian tremor and simplification in network dynamics. Bulletin of Mathematical Biology 61, 157-177 (1999). pdf file

  • L. Glass, C. Hill, T. Mestl. Nonlinear dynamics of gene and neural networks. In: Nonlinear Phenomena in Biological and Physical Systems, S. K. Malik, M. K. Chandrashekaran, N. Pradhan, Eds. (Indian National Science Academy, New Delhi, 2000) 249-262.

  • R. Edwards, L. Glass. Combinatorial explosion in model gene networks. Chaos 10, 691-704 (2000). pdf file

  • R. Edwards, H. T. Siegelmann, K. Aziza, L. Glass. Symbolic dynamics and computation in model gene networks. Chaos 11, 160-169 (2001). pdf file

  • K. Kappler, R. Edwards, L. Glass. Dynamics in high dimensional model gene networks. Signal Processing 83, 789-798 (2002). pdf file

  • T. J. Perkins, M. T. Hallett, L. Glass. Inferring models of gene expression dynamics. Journal of Theoretical Biology 230, 289–299 (2004). pdf file

  • J. P. Mason, P. S. Linsay, J. J. Collins, L. Glass. Evolving complex dynamics in electronic models of genetic networks. Chaos 14 (3), 707-715 (2004). pdf file
     
  • R. Edwards and L. Glass. A calculus for relating the dynamics and structure of complex biological networks. In: Adventures in Chemical Physics: A Special Volume of Advances in Chemical Physics (R. S. Berry and J. Jortner, Hoboken), John Wiley & Sons, Inc., NJ,132, 151-178 (2006).
     
  • L. Glass, T. J. Perkins, J. Mason, H. T. Siegelmann, R. Edwards. Chaotic dynamics in an electronic model of a genetic network. Journal of Statistical Physics, 121(5/6) (2005). pdf file
     
  • T. J. Perkins, M. Hallett, L. Glass. Dynamical properties of model gene networks and implications for the inverse problem. BioSystems 84, 115–123 (2006). pdf file

  • T. J. Perkins, J. Jaeger, J. Reinitz, L. Glass. Reverse engineering the gap gene network of Drosophila melanogaster. PLoS Comput. Biol. 2(5): e51 (2006). pdf file

  • V. Lemaire, C. F. Lee, J. Lei, R. Métivier, L. Glass. Sequential recruitment and combinatorial assembling of multiprotein complexes in transcriptional activation. Phys. Rev. Lett. 96, 198102 (2006). pdf file
     
  • M. Nahmad, L. Glass, E. Abouheif. The dynamics of developmental system drift in the gene network underlying wing polyphenism in ants: a mathematical model. Evolution  & Development 10, 360-374 (2008).
     
  • S. Cardin, P. Pelletier, E. Libby, S. Le Bouter, L Xiao, S Kääb, S Demolombe, L. Glass, S. Nattel. Marked differences between atrial and ventricular gene-expression remodeling in dogs with experimental heart failure.  Journal of Molecular and Cellular Cardiology, 45, 821-831 (2008). pdf file
     
  • R. Wilds, SA. Kauffman, L. Glass. Evolution of complex dynamics. Chaos, 18:3  (2008).

  • P. Martineau, M. Aguilar, L. Glass. Predicting perception of the wagon wheel illusion. Physical Review Letters, 103:2 (2009). pdf file
     
  • R. Wilds, L. Glass. Contrasting methods for symbolic analysis of biological regulatory networks. Physical Review E80, 062902 (2009).  pdf file
     
  • R. Wilds, L. Glass.  An atlas of robust, stable, high-dimensional limit cycles. International Journal of Bifurcation and Chaos, 19:12, 4055-4096 (2009). pdf file

  • T. J. Perkins, R. Wilds, L. Glass. Robust dynamics in minimal hybrid models of genetic networks. Philosophical Transactions of the Royal Society A, 368, 4961–-4975 (2010). doi:10.1098/rsta.2010.0139 
    • web link

  • L. Glass, H. T. Siegelmann. Logical and symbolic analysis of robust biological dynamics. Current Opinion in Genetics and Development, 20, 644--649 (2010). pdf file